Mathematical Physics

Valentin Afraimovich,Edgardo Ugalde,Jesus Urias's Fractal Dimensions for Poincare Recurrences (Monograph PDF

By Valentin Afraimovich,Edgardo Ugalde,Jesus Urias

ISBN-10: 0444521895

ISBN-13: 9780444521897

This publication is dedicated to a tremendous department of the dynamical structures conception : the research of the high quality (fractal) constitution of Poincare recurrences -instants of time whilst the process nearly repeats its preliminary nation. The authors have been in a position to write a completely self-contained textual content together with many insights and examples, in addition to delivering whole info of proofs. the one necessities are a simple wisdom of research and topology. therefore this e-book can function a graduate textual content or self-study advisor for classes in utilized arithmetic or nonlinear dynamics (in the typical sciences). furthermore, the e-book can be utilized through experts in utilized nonlinear dynamics following the way in which within the publication. The authors utilized the mathematical concept constructed within the e-book to 2 very important difficulties: distribution of Poincare recurrences for nonpurely chaotic Hamiltonian structures and indication of synchronization regimes in coupled chaotic person systems.

* parts of the ebook have been released in a piece of writing that gained the name "month's new sizzling paper within the box of arithmetic" in might 2004
* Rigorous mathematical idea is mixed with very important actual applications
* offers ideas for instant motion to review mathematical versions of actual systems
* includes ordinary theorems of dynamical structures theory

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Fractal Dimensions for Poincare Recurrences (Monograph Series on Nonlinear Science and Complexity) by Valentin Afraimovich,Edgardo Ugalde,Jesus Urias


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